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Finding the Third Proportional to 199,951.50 and 444,189

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Solution

The third proportional to 199,951.50 and 444,189 is: 986,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,951.50 : 444,189 = 444,189 : x
  2. Step 2: Convert to fraction form
    199,951.50/444,189 = 444,189/x
  3. Step 3: Cross multiply
    199,951.50x = 444,189 × 444,189
  4. Step 4: Simplify right side
    199,951.50x = 197,303,867,721
  5. Step 5: Solve for x
    x = 197,303,867,721/199,951.50
  6. Step 6: Final answer
    x = 986,758.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.